(4b-2a)(3a+3b)=

Solution for (4b-2a)(3a+3b)= equation:

Simplifying
(4b + -2a)(3a + 3b) = 0

Reorder the terms:
(-2a + 4b)(3a + 3b) = 0

Multiply (-2a + 4b) * (3a + 3b)
(-2a * (3a + 3b) + 4b * (3a + 3b)) = 0
((3a * -2a + 3b * -2a) + 4b * (3a + 3b)) = 0

Reorder the terms:
((-6ab + -6a2) + 4b * (3a + 3b)) = 0
((-6ab + -6a2) + 4b * (3a + 3b)) = 0
(-6ab + -6a2 + (3a * 4b + 3b * 4b)) = 0
(-6ab + -6a2 + (12ab + 12b2)) = 0

Reorder the terms:
(-6ab + 12ab + -6a2 + 12b2) = 0

Combine like terms: -6ab + 12ab = 6ab
(6ab + -6a2 + 12b2) = 0

Solving
6ab + -6a2 + 12b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6'.
6(ab + -1a2 + 2b2) = 0

Factor a trinomial.
6((-1a + -1b)(a + -2b)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1a + -1b)' equal to zero and attempt to solve:

Simplifying
-1a + -1b = 0

Solving
-1a + -1b = 0

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.
-1a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
-1a + 0 = 0 + b
-1a = 0 + b
Remove the zero:
-1a = b

Divide each side by '-1'.
a = -1b

Simplifying
a = -1b
Subproblem 2
Set the factor '(a + -2b)' equal to zero and attempt to solve:

Simplifying
a + -2b = 0

Solving
a + -2b = 0

Move all terms containing a to the left, all other terms to the right.

Add '2b' to each side of the equation.
a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
a + 0 = 0 + 2b
a = 0 + 2b
Remove the zero:
a = 2b

Simplifying
a = 2b
Solution
a = {-1b, 2b}